Reference : B-Spline FEM for Time-Harmonic Acoustic Scattering and Propagation
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B-Spline FEM for Time-Harmonic Acoustic Scattering and Propagation
Khajah, Tahsin mailto [University of Texas at Tyler, Tyler, TX 75707, USA > Department of Mechanical Engineering]
Antoine, Xavier [Institut Elie Cartan de Lorraine, Université de Lorraine, France > > > ; Inria Nancy-Grand Est, SPHINX Team, F-54506, Vandoeuvre-lès-Nancy Cedex, France]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Institute of Mechanics and Advanced Materials, Cardiff University School of Engineering, UK > > > ; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan]
Journal of Theoretical and Computational Acoustics
[en] Time harmonic acoustic ; high frequency ; scattering
[en] We study the application of a B-splines Finite Element Method (FEM) to time-harmonic scattering acoustic problems. The infinite space is truncated by a fictitious boundary and second-order Absorbing Boundary Conditions (ABCs) are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the numerical method, in particular of the size of the pollution error. Numerical results performed with high-order basis functions (third or fourth order) showed no visible pollution error even for very high frequencies. To prove the ability of the method to increase its accuracy in the high frequency regime, we show how to implement a high-order Padé-type ABC on the fictitious outer boundary. The above-mentioned properties combined with exact geometrical representation make B-Spline FEM a very promising platform to solve high-frequency acoustic problems.
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